It didn't take me very long, but it's a few hours ago and I have a hard time explaining in detail how I did it. Generally I start with the numbers that seem to be most frequent (certainly not the 4 in this case! Although this number did appear after there were a couple of 24-pairs around which excluded 4s in other places and so on...). I only write in pencil (strong) the numbers which need to be in a row or a column, because they cannot be elsewhere (in the row, the column or the "square", which I in this case call "area" since it isn't a square). Remember that this is the speciality in squigglies - if there are only two rows in the bottom into which a number can go - then it can be only in two areas. And if two areas only have free places there - so much the better, because we can be sure that there are none of this number in the areas that extend further. This way I can eliminate many possibilities. Then I try to look for rows and columns and areas that have few leftovers or for places with few possibilities. Often I am almost done this way. Then I look for pairs and so on...
Whart is the most difficult thing about this? To describe it in words... I learned by doing and would never have read stuff like this. So - good luck and the be assured that it is possible to solve todays squiggly by logic!